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      Investigation of the p-Laplacian nonperiodic nonlinear boundary value problem via generalized Caputo fractional derivatives

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          Abstract

          A newly proposed p-Laplacian nonperiodic boundary value problem is studied in this research paper in the form of generalized Caputo fractional derivatives. The existence and uniqueness of solutions are fully investigated for this problem using some fixed point theorems such as Banach and Schauder. This work is supported with an example to apply all obtained new results and validate their applicability.

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          A new study on the mathematical modelling of human liver with Caputo–Fabrizio fractional derivative

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            A mathematical model for COVID-19 transmission by using the Caputo fractional derivative

            Highlights • COVID-19 is transmitted from asymptomatic individuals to susceptible individuals. • COVID-19 is transmitted from symptomatic individuals to susceptible individuals. • Since R0=1.6 is greater than 1, the COVID-19 will spread exponentially. • If COVID-19 is not controlled, it is estimated that about 20 million people will become infected in the next three years.
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              A hybrid Caputo fractional modeling for thermostat with hybrid boundary value conditions

              We provide an extension for the second-order differential equation of a thermostat model to the fractional hybrid equation and inclusion versions. We consider boundary value conditions of this problem in the form of the hybrid conditions. To prove the existence of solutions for our hybrid fractional thermostat equation and inclusion versions, we apply the well-known Dhage fixed point theorems for single-valued and set-valued maps. Finally, we give two examples to illustrate our main results.
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                Author and article information

                Contributors
                Journal
                Advances in Difference Equations
                Adv Differ Equ
                Springer Science and Business Media LLC
                1687-1847
                December 2021
                January 22 2021
                December 2021
                : 2021
                : 1
                Article
                10.1186/s13662-021-03228-9
                7e913d0b-d54a-4826-87ef-2d2f633d7d35
                © 2021

                https://creativecommons.org/licenses/by/4.0

                https://creativecommons.org/licenses/by/4.0

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